x^2-18x+10=-5x-2

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Solution for x^2-18x+10=-5x-2 equation: 


Simplifying
x2 + -18x + 10 = -5x + -2

Reorder the terms:
10 + -18x + x2 = -5x + -2

Reorder the terms:
10 + -18x + x2 = -2 + -5x

Solving
10 + -18x + x2 = -2 + -5x

Solving for variable 'x'.

Reorder the terms:
10 + 2 + -18x + 5x + x2 = -2 + -5x + 2 + 5x

Combine like terms: 10 + 2 = 12
12 + -18x + 5x + x2 = -2 + -5x + 2 + 5x

Combine like terms: -18x + 5x = -13x
12 + -13x + x2 = -2 + -5x + 2 + 5x

Reorder the terms:
12 + -13x + x2 = -2 + 2 + -5x + 5x

Combine like terms: -2 + 2 = 0
12 + -13x + x2 = 0 + -5x + 5x
12 + -13x + x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
12 + -13x + x2 = 0

Factor a trinomial.
(1 + -1x)(12 + -1x) = 0


Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {1, 12}

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